I'd think about a Strat style with those pick up choices. The reason being for a first time build you can buy a H S H pick guard, do all the wiring with the pick ups and switches outside the body. 5 way easier to do with a strat style switch. Splitting the humbuckers with push pulls isn't hard, just a couple more solders. Also getting a Strat style body set up for Floyd is more common than an LP.
Personally I'd do a strat kit, find out if you enjoy the process of building then you can always upgrade the electrics and hardware later or order some custom bits on a new kit

just my 2 cents